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Finding the Fourth Proportional to 9,321.78, 13,985.61 and 4,391.22

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Solution

The fourth proportional to 9,321.78, 13,985.61 and 4,391.22 is: 6,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.78 : 13,985.61 = 4,391.22 : x
  2. Step 2: Convert to fraction form
    9,321.78/13,985.61 = 4,391.22/x
  3. Step 3: Cross multiply
    9,321.78x = 13,985.61 × 4,391.22
  4. Step 4: Simplify right side
    9,321.78x = 61,413,890.34
  5. Step 5: Solve for x
    x = 61,413,890.34/9,321.78
  6. Step 6: Final answer
    x = 6,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.